What is the Greatest Common Factor of 7120 and 7135?

Greatest common factor (GCF) of 7120 and 7135 is 5.

GCF(7120,7135) = 5

We will now calculate the prime factors of 7120 and 7135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7120 and 7135.

How to find the GCF of 7120 and 7135?

We will first find the prime factorization of 7120 and 7135. After we will calculate the factors of 7120 and 7135 and find the biggest common factor number .

Step-1: Prime Factorization of 7120

Prime factors of 7120 are 2, 5, 89. Prime factorization of 7120 in exponential form is:

7120 = 2⁴ × 5¹ × 89¹

Step-2: Prime Factorization of 7135

Prime factors of 7135 are 5, 1427. Prime factorization of 7135 in exponential form is:

7135 = 5¹ × 1427¹

Step-3: Factors of 7120

List of positive integer factors of 7120 that divides 7120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 89, 178, 356, 445, 712, 890, 1424, 1780, 3560

Step-4: Factors of 7135

List of positive integer factors of 7135 that divides 7120 without a remainder.

1, 5, 1427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7120 and 7135. The biggest common factor number is the GCF number.
So the greatest common factor 7120 and 7135 is 5.

Also check out the Least Common Multiple of 7120 and 7135